3(3y+5)-9=4(2y+12)

Solution for 3(3y+5)-9=4(2y+12) equation:

Simplifying
3(3y + 5) + -9 = 4(2y + 12)

Reorder the terms:
3(5 + 3y) + -9 = 4(2y + 12)
(5 * 3 + 3y * 3) + -9 = 4(2y + 12)
(15 + 9y) + -9 = 4(2y + 12)

Reorder the terms:
15 + -9 + 9y = 4(2y + 12)

Combine like terms: 15 + -9 = 6
6 + 9y = 4(2y + 12)

Reorder the terms:
6 + 9y = 4(12 + 2y)
6 + 9y = (12 * 4 + 2y * 4)
6 + 9y = (48 + 8y)

Solving
6 + 9y = 48 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
6 + 9y + -8y = 48 + 8y + -8y

Combine like terms: 9y + -8y = 1y
6 + 1y = 48 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + 1y = 48 + 0
6 + 1y = 48

Add '-6' to each side of the equation.
6 + -6 + 1y = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 48 + -6
1y = 48 + -6

Combine like terms: 48 + -6 = 42
1y = 42

Divide each side by '1'.
y = 42

Simplifying
y = 42